Question

Find the distance between the points (3, –2) and (1, 5).

Find the distance between the origin and the point (–3, 7)​

Answer 1

Hello mate..

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Question (i):

Given:

x₁ = 3

x₂ = 1

y₁ = -2

y₂ = 5

To Find:

Distance between the points (3, -2); (1, 5).

SOLUTION:

We know that,

$\bold \green{distance \: between \: two \: points = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} }}$

$\bold{ \implies\sqrt{( {1 - 3)}^{2} + ( {5 - ( - 2))}^{2} } }\\ \bold{ \implies\sqrt{( { - 2)}^{2} + ({7)}^{2} } } \\ \bold{ \implies \sqrt{ - 4 + 14} } \\ \bold{ \implies \sqrt{10} } \\ \bold{ \implies 3.1}$

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HOPE THIS HELPS YOU..